{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "view-in-github"
   },
   "source": [
    "# Analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 37
    },
    "id": "El49NgachrYj",
    "outputId": "867cd0cc-78dd-470c-c8d6-6b55d9daa8dd"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'1.8.1+cu102'"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import torch\n",
    "torch.__version__"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "id": "Dumky9Ut1vHJ"
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import torch\n",
    "import torch.distributions as td\n",
    "import matplotlib.pyplot as plt\n",
    "import torch.nn as nn"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "from collections import namedtuple, OrderedDict, defaultdict\n",
    "from tqdm.auto import tqdm\n",
    "from itertools import chain\n",
    "from tabulate import tabulate\n",
    "import pickle"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "import sys\n",
    "sys.path.append(\"../\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "from pathlib import Path"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "id": "WDWb-ohmPxy_"
   },
   "outputs": [],
   "source": [
    "from components import GenerativeModel, InferenceModel, VAE\n",
    "from data import load_mnist\n",
    "from hparams import load_cfg, make_args\n",
    "from main import make_state, get_batcher, validate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "from analysis import compare_marginals, compare_samples"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Load model and data\n",
    "\n",
    "* Load hyperparameters\n",
    "* Load model state\n",
    "* Load MNIST data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "num_samples = 100"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Overriding device to user choice cuda:1\n",
      "Overriding data_dir to user choice ../tmp\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Config(seed=13, batch_size=100, data_dir='../tmp', height=28, width=28, output_dir='trained_models/mixed-maxent/robust-wildflower-4', device='cuda:1', y_dim=10, prior_f='gibbs-max-ent 0', prior_y='dirichlet 1.0', z_dim=0, hidden_dec_size=500, posterior_f='gibbs -10 10', posterior_y='dirichlet 1e-3 1e3', mean_field=True, hidden_enc_size=500, epochs=500, num_samples=100, gen_opt='adam', gen_lr=0.0001, gen_l2=0.0, gen_p_drop=0.0, inf_opt='adam', inf_lr=0.0002, inf_l2=1e-06, inf_p_drop=0.1, grad_clip=1.0, use_self_critic=1, use_reward_standardisation=0, project='iclr-submission', prior_z='gaussian 0.0 1.0', posterior_z='gaussian', shared_enc_fy=1, training_samples=1, load_ckpt=None, reset_opt=False, exact_marginal=False, exact_KL_Y=0, tqdm=False, cfg='cfg/iclr-mixed-dirichlet.json', wandb_freq=10, lr_warmup=0, ppo_like_steps=0, gsp_cdf_samples=100, gsp_KL_samples=1)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model_type = 'mixed-maxent'\n",
    "experiment = 'robust-wildflower-4'\n",
    "directory = f'../trained_models/{model_type}/{experiment}/'\n",
    "args = make_args(\n",
    "    load_cfg(\n",
    "        f\"{directory}/cfg.json\", \n",
    "        # use this to specify a decide for analysis\n",
    "        device='cuda:1',\n",
    "        # use this to change paths if you need\n",
    "        data_dir='../tmp',\n",
    "    )\n",
    ")\n",
    "args"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "PosixPath('pdfplots/mixed-maxent/robust-wildflower-4')"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plots_dir = Path(f\"pdfplots/{model_type}/{experiment}\")\n",
    "plots_dir"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "plots_dir.mkdir(parents=True, exist_ok=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'cuda:1'"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "args.device"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "state = make_state(\n",
    "    args, \n",
    "    device=args.device, \n",
    "    # change this to .best if you want the best ckpt (rather than the last)\n",
    "    ckpt_path=f\"{directory}/ckpt.last\"\n",
    "    #ckpt_path=f\"{directory}/training.ckpt\"\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 845,
     "referenced_widgets": [
      "9049691356d04d3c9f79245a12e22c2d",
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      "3101e39990db4580877323e9ee2954ea",
      "fc73554bd1054f3b95d157ddaa22a8a9",
      "32dde89004e541a78ee6d35af5d3f14b",
      "05389b71a6b545cf9b61d9f63f79c894",
      "642b9f5fb1624f2c97344e8e7a6c5d20",
      "a9ff1ca678d44b0b96e0aea1541c8359",
      "9328008d582947ee9a7dddef3d6571da",
      "f839264c20cd46feb8ce184e87e85416",
      "8be95b95873544a79de9124a8ed267d8",
      "09a30ad3b16444309a2f2591382c5735"
     ]
    },
    "id": "lymJpzWjiAr2",
    "outputId": "346ad792-2d1a-45ca-a6ca-4a4cb59c5e3f"
   },
   "outputs": [],
   "source": [
    "train_loader, valid_loader, test_loader = load_mnist(\n",
    "    args.batch_size, \n",
    "    save_to=args.data_dir, \n",
    "    height=args.height, \n",
    "    width=args.width\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's check the validation results:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "c10bc7b4cb4b4b21beef9c4a78a1f956",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/50 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Saved ckpt - Validation: nll=106.77 bpd=15.40\n"
     ]
    }
   ],
   "source": [
    "val_metrics = validate(state.vae, get_batcher(valid_loader, args), 1000, progressbar=True, compute_DR=True)\n",
    "print(f'Saved ckpt - Validation: nll={val_metrics[0]:.2f} bpd={val_metrics[1]:.2f}')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Samples from prior"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here we draw some sampels from the generative model (via the prior) and anlyse the results. \n",
    "\n",
    "To help do it systematically, we use a KNN classifier trained on MNIST. This classifier achieves F1=95% on MNIST test set."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "knn_model = pickle.load(open('knnclassifier.pickle', 'rb'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "from analysis import collect_samples"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First, we gather samples:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "prior, _ = collect_samples(\n",
    "    state.vae, \n",
    "    get_batcher(valid_loader, args), \n",
    "    args, \n",
    "    num_samples=1, \n",
    "    data_sample=True,\n",
    "    from_prior=True,\n",
    "    from_posterior=False,\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(5000, 784)"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x_gen_prior = np.concatenate(prior['x'])\n",
    "x_gen_prior.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Then, we classify the model samples using a KNN classifier trained on (actual) MNIST."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "knn_pred = knn_model.predict(x_gen_prior)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "clustered = defaultdict(list)\n",
    "for x_, y_ in zip(x_gen_prior, knn_pred):\n",
    "    clustered[y_].append(x_)\n",
    "clustered = {cls: np.stack(digits) for cls, digits in clustered.items()}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "p_emp = np.array([len(clustered.get(c, []))/x_gen_prior.shape[0] for c in range(10)])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's check a grid of plots with model samples grouped by predicted class:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x720 with 100 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(\n",
    "    10, 10, \n",
    "    figsize=(15, 10),\n",
    "    sharex=True, sharey=True,\n",
    "    gridspec_kw={'hspace': 0, 'wspace': 0},\n",
    ")\n",
    "for c in range(10):\n",
    "    axs[c, 0].imshow(clustered.get(c, np.zeros((1, 28 * 28))).mean(0).reshape(args.height, args.width), cmap='Greys')    \n",
    "    for i, k in enumerate(np.random.choice(len(clustered.get(c, [])), size=9)):\n",
    "        axs[c, i + 1].imshow(clustered[c][k].reshape(args.height, args.width), cmap='Greys')\n",
    "\n",
    "for ax in axs.flat:\n",
    "    ax.set_xticks([])\n",
    "    ax.set_yticks([])\n",
    "#_ = fig.suptitle(r'Samples from prior clustered by KNN classifier with F1=95%')\n",
    "fig.savefig(plots_dir / 'prior-grid.pdf', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's group the model samples by predicted class and inspect a single 'marginal' plot per class:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 10 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(\n",
    "    2, 5, \n",
    "    sharex=True, sharey=True,\n",
    "    gridspec_kw={'hspace': 0, 'wspace': 0})\n",
    "for c in range(10):\n",
    "    axs[c // 5, c % 5].imshow(clustered.get(c, np.zeros((1, 28 * 28))).mean(0).reshape(args.height, args.width), cmap='Greys')\n",
    "    axs[c // 5, c % 5].set_xlabel(f\"({c}) {p_emp[c] * 100:.2f}\") #set_title(f\"X'|X={c}\")\n",
    "for ax in axs.flat:\n",
    "    ax.set_xticks([])\n",
    "    ax.set_yticks([])\n",
    "# Hide x labels and tick labels for top plots and y ticks for right plots.\n",
    "#for ax in axs.flat:\n",
    "#    ax.label_outer()\n",
    "#_ = fig.suptitle(r'Samples from prior clustered by KNN classifier with F1=95%')\n",
    "fig.savefig(plots_dir / 'prior-marginal.pdf', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "dz90e7lyzOwe"
   },
   "source": [
    "# Training Curves"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "id": "1BiQHIBHwJrr"
   },
   "outputs": [],
   "source": [
    "np_stats_tr = {k: np.array(v) for k, v in state.stats_tr.items()}\n",
    "np_stats_val = {k: np.array(v) for k, v in state.stats_val.items()}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "def smooth(v, kernel_size=100):\n",
    "    if kernel_size is None:\n",
    "        return v\n",
    "    return np.convolve(v, np.ones(kernel_size)/kernel_size, 'valid')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 1000
    },
    "id": "-y3TFeJgwrbv",
    "outputId": "f6c5d3d2-0ea0-4e1b-f309-938be21c2d44",
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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TbkuBc9PyOcB1kVkBTJY0raj6mZnZ3hrSpyCpCzgJWAkcERFb0qbngSPS8nTguarDNqWywedaIKlHUk9fX19xlTYzK6HCg4KkScCPgUsi4tXqbRERjPCG4ohYHBHdEdHd2dk5ijU1M7NCg4KkA8gCwg1Vs6q+0H9ZKL1vTeWbgZlVh89IZWZm1iBFjj4SsATYEBFXVm1axm+f3HYBcHtV+flpFNIcYHvVZSYzM2uAeqbO3lenA38IPCZpTSq7DLgCuEXSfOBZ4A/StjuAuUAvsIM2ecqbmVkrKSwoRMSD5M+ftNcUGql/4cKi6mNmZsPzHc1mZlbhoJB0LVze7CqYmTWdg4KZmVU4KJiZWUUpg8IzV3ys2VUwMxuTShkUzMxsaA4KZmZW4aBgZmYVDgpmZlbhoGBmZhUOCmZmVuGgYGZmFQ4KZmZW4aBQxfMfmVnZOSiYmVmFg4KZmVWUNih4/iMzs72VNiiYmdneHBTMzKzCQWEQj0AyszJzUDAzswoHBTMzqyh1UPAIJDOzgUodFMzMbKDCgoKkH0raKmldVdnlkjZLWpNec6u2LZLUK+kJSR8pql71cGezmZVVkZnCj4Czhyi/KiJmp9cdAJKOB+YBJ6Rj/lrS+ALrZmZmQygsKETEA8DLde5+DnBTROyMiKeBXuC0oupmZmZDa0afwkWS1qbLS1NS2XTguap9NqWywuV1NvsSkpmVUaODwjXAscBsYAvwrZGeQNICST2Sevr6+ka5emZm5dbQoBARL0TE7ojYA/yA314i2gzMrNp1Riob6hyLI6I7Iro7OzsLra+zBTMrm4YGBUnTqlY/AfSPTFoGzJM0UdLRwCxgVaPqVet+hb9b+etGVcPMrOk6ijqxpBuBM4GpkjYBXwXOlDQbCOAZ4IsAEbFe0i3A48Au4MKI2F1U3Ubistse4zPvO7LZ1TAzawhFRLPrsM+6u7ujp6dnVM71dyt/zWW3PZa73Xc/m1m7kLQ6IrqH2uY7mpPhsgH3L5hZGTgoVBkuG3BgMLN256AwQl0Ll7vz2czaloPCIPX0HVx222POGsysLTkoDKHeTuWuhcsdHMysrTgo5BjJaCMHBjNrFx6SOoyR/sGf/I4DOPO4Tr4976SCamRmtn9qDUl1UKjTvmQDX/rAMSyc+28LqI2Z2b5zUBgl+3uZyDfAmdlY4KAwykarD8FBwsyawUGhAMNNi7GvHCjMrGgOCgV692XL2bWn+M9xsDCz0eKgULCisob94SBiZnkcFBqo1e5ZcPAwKx8HhSZqtSCxryaMF7/6+txmV8PM6uCgMMaUJVCMhv5MZvbX7uSV/7eLyQd1sOarH2lyrcxam4NCC3CgaD3jgI1XfIxLbnqE+37V5zvZrWU4KLS4S256hJ+u+U2zq2FtYJzgjHdP5YEnXxxQfu7sd7F+83ae7HtjQHl/pnbGFXez+ZU3mT75QB5c+MGG1deK4aDQho5dtJzdrfvVmbW12TMOBWDdb17lxHe9kzd27uKpF9/g2KkHc9elZw7Y94o7NvCP65/nmZd2VMpqDQA5f8lKVj3zMqd1HcZ189+3T/VzUDBfnjJrU/sygtBBwUbN0QuX07q/GLP2NNLAUCsodIxKjaw0ni7ovob+lPjNtxtwe7iZ5XJQsDFhX6+NjobqS2vV/+LyJTcrIwcFK7281LtV7vYeHNRqdUTmBcBzv/sgazZtL76yNua5T8HM6nbqX95F3+tv0TlpAg/99w/t0znOX7KyMiR2Vufeo3H21f7eL3LFHRv4/gMbK+sj/UfB4IC7+tltrNj4Et+884kR10VQd99dy3Q0S/oh8HFga0ScmMoOA24GuoBngD+IiG2SBFwNzAV2AP8pIh4e7jMcFMzMRq5WUBhX4Of+CDh7UNlC4O6ImAXcndYBPgrMSq8FwDUF1svMzHIUFhQi4gHg5UHF5wBL0/JS4Nyq8usiswKYLGlaUXUzM7OhFZkpDOWIiNiSlp8HjkjL04HnqvbblMr2ImmBpB5JPX19fcXV1MyshBodFCoi68wYcYdGRCyOiO6I6O7s7CygZmZm5dXooPBC/2Wh9L41lW8GZlbtNyOVmZlZAzU6KCwDLkjLFwC3V5Wfr8wcYHvVZSYzM2uQIoek3gicCUwFXgC+CvwUuAU4EniWbEjqy2lI6nfJRivtAD4fEcOONZXUl86zL6YCLw67V+tq5/a5ba2rndvXSm07KiKGvP7e0jev7Q9JPXnjdNtBO7fPbWtd7dy+dmlb0zqazcxs7HFQMDOzijIHhcXNrkDB2rl9blvrauf2tUXbStunYGZmeytzpmBmZoM4KJiZWUUpg4KksyU9IalX0sLhj2geSc9IekzSGkk9qewwSXdJejK9T0nlkvSd1K61kk6uOs8Faf8nJV1QVX5KOn9vOlYFtuWHkrZKWldVVnhb8j6jQe27XNLm9P2tkTS3atuiVNcnJH2kqnzI36ekoyWtTOU3S5qQyiem9d60vauAts2UdK+kxyWtl3RxKm/5769G29riuxuxiCjVCxgPPAUcA0wAHgWOb3a9atT3GWDqoLL/BSxMywuBb6TlucA/kD2jYw6wMpUfBmxM71PS8pS0bVXaV+nYjxbYlg8AJwPrGtmWvM9oUPsuB/50iH2PT7+9icDR6Tc5vtbvk+zGz3lp+fvAH6XlPwa+n5bnATcX0LZpwMlp+RDgV6kNLf/91WhbW3x3I/7v0ewKNLzB8H7gzqr1RcCiZterRn2fYe+g8AQwLS1PA55Iy9cCnx68H/Bp4Nqq8mtT2TTgl1XlA/YrqD1dDPyjWXhb8j6jQe3L+8My4HcH3Jl+m0P+PtMfyheBjsG/4/5j03JH2k8Ff4+3Ax9qt+9vUNva8rsb7lXGy0d1T9M9RgTwC0mrJS1IZSOdgrxW+aYhyhupEW3J+4xGuShdQvlh1aWPkbbvcOCViNg1qHzAudL27Wn/QqRLHCcBK2mz729Q26DNvrt6lDEotJozIuJksqfTXSjpA9UbI/snRluMK25EW5rw3+sa4FhgNrAF+FYDP3vUSZoE/Bi4JCJerd7W6t/fEG1rq++uXmUMCi01TXdEbE7vW4HbgNMY+RTktcpnDFHeSI1oS95nFC4iXoiI3RGxB/gB2fcHI2/fS2RPJOwYVD7gXGn7oWn/USXpALI/mjdExE9ScVt8f0O1rZ2+u5EoY1B4CJiVRgNMIOvcWdbkOg1J0sGSDulfBj4MrGPkU5DfCXxY0pSUAn+Y7JrmFuBVSXPSSI/zq87VKI1oS95nFE4DHyv7CbLvr79O89Lok6PJnk++ipzfZ/oX8r3AJ9Pxg/9b9bfvk8A9af/RbIeAJcCGiLiyalPLf395bWuX727Emtmh0awX2ciIX5GNFPiLZtenRj2PIRvB8Ciwvr+uZNcc7waeBP4JOCyVC/heatdjQHfVub4A9KbX56vKu8l+7E+RTV9eWCcXcCNZGv422XXV+Y1oS95nNKh916f6ryX7AzCtav+/SHV9gqpRX3m/z/R7WJXa/ffAxFR+YFrvTduPKaBtZ5BdtlkLrEmvue3w/dVoW1t8dyN9eZoLMzOrKOPlIzMzy+GgYGZmFQ4KZmZW4aBgZmYVDgpmZlbhoGAGSPo/6b1L0mdG+dyXDfVZZmORh6SaVZF0JtkkaB8fwTEd8dt5bYba/npETBqF6pkVzpmCGdkf7rR4BfA7af78/yppvKRvSnooTYz2xbT/mZL+WdIy4PFU9tM0ceH6/skLJV0BHJTOd0P1Z6W7fb8paZ2y5wicV3Xu+yTdKumXkm5Id92aFa5j+F3MSmUhVZlC+uO+PSJOlTQR+BdJv0j7ngycGBFPp/UvRMTLkg4CHpL044hYKOmiiJg9xGf9Ptlka+8FpqZjHkjbTgJOAH4D/AtwOvDgaDfWbDBnCma1fZhsDp81ZNMpH0421w3AqqqAAPBlSY8CK8gmOZtFbWcAN0Y26doLwP3AqVXn3hTZZGxryJ7TYFY4ZwpmtQn4k4i4c0Bh1vfwxqD1/0j2wJQdku4jm9dmX+2sWt6N/1+1BnGmYDbQa2SPZOx3J/BHaWplJB2XZqwd7FBgWwoI7yF7rGS/t/uPH+SfgfNSv0Un2eM8V41KK8z2kf/1YTbQWmB3ugz0I+Bqsks3D6fO3j7g3CGO+0fgS5I2kM2cuaJq22JgraSHI+KzVeW3kT2a8VGyWTr/LCKeT0HFrCk8JNXMzCp8+cjMzCocFMzMrMJBwczMKhwUzMyswkHBzMwqHBTMzKzCQcHMzCr+P2fWBoYkZlJZAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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ZvAI4AbhE0uQRaMdePBBuZpZXJWjskDQGuE/S+ZLOBA7e3wNHxOOl1YP4w9DBYuDqKKwBJkmaCpwK3BQRj0TEo8BNwKL9bUeOB8LNzPKq3nvqOcB7gY9QnKIakVNDkj4KnENxm5LXpOJpFLcuGbAllTUqH3EeCDczy2uaaaRbor81In4XEVsi4h0R8aaUAeyTpJsl3ZV5LQaIiKURMQNYCZy/3735w3GXSForae22bduGvL8Hws3M8ppd3DcuInZKOnG4bx4RJ1fcdCVwPcWYxVZgRqlueirbCpw0qPyWBsddDiwH6OvrG3Ki4CvCzczymmUat6WfP5a0StKfSzpr4LW/B05TeQcsBu5Jy6uAc9IsqoXAYxHxMLAaOEXS5DQAfkoqG3EeCDczy6sypjER2A78KX/44zuAr+3nsZdJeiHFg50eBM5L5dcDpwP9wBPAOwAi4hFJHwFuT9tdGhGP7GcbspxpmJnlNQsaz5P0fuAu/vD9OWC/x4Yj4k0NygN4T4O6FcCK/T32vjjTMDPLaxY0xlJMrVWmrqsnFDnTMDPLaxY0Ho6IS1vWkg7iTMPMLK/ZQHguw+gJvrjPzCyvWdB4bcta0WF8cZ+ZWV7DoFHXzKTRwBf3mZnlVbn3VM/xXW7NzPIcNDI8EG5mluegkeFMw8wsz0Ejw5mGmVmeg0aGMw0zszwHjQxnGmZmeQ4aGc40zMzyHDQynGmYmeU5aGQ40zAzy3PQyHCmYWaW56CR4UzDzCzPQSPDmYaZWZ6DRoYzDTOzPAeNDGcaZmZ5DhoZfgiTmVmeg0aGH8JkZpbnoJHhhzCZmeU5aGR4INzMLM9BI8MD4WZmeW0JGpI+ImmDpPWSbpR0VCo/SdJjqXy9pItL+yyStElSv6QL62yfMw0zs7x2ZRqXRcRLImI+8E3g4lLdDyJifnpdCiBpLPBp4DRgHvA2SfPqapwzDTOzvLYEjYh4vLR6EPueoHQC0B8RmyPiaeAaYHFd7XOmYWaW17YxDUkflfQQ8Hb2zDReKekOSTdIOjaVTQMeKm2zJZXVwpmGmVlebUFD0s2S7sq8FgNExNKImAGsBM5Pu/0IODoiXgr8M3DtMI+9RNJaSWu3bds25P2daZiZ5Y2r640j4uSKm64ErgcuKZ+2iojrJX1G0hRgKzCjtM/0VNbo2MuB5QB9fX1DvjbPmYaZWV67Zk/NLa0uBu5J5UdKUlo+gaJ924HbgbmSZksaD5wNrKqrfc40zMzyass09mGZpBcCu4EHgfNS+ZuBd0naCTwJnB0RAeyUdD6wGhgLrIiIjXU1zpmGmVleW4JGRLypQfnlwOUN6q6nOI1Vu4FMI3CmYWZW5ivCM5xpmJnlOWhkeEzDzCzPQSPDmYaZWZ6DRoYzDTOzPAeNDGcaZmZ5DhoZzjTMzPIcNDKcaZiZ5TloZDjTMDPLc9DIcKZhZpbnoJFRzjTG4EzDzGyAg0bGwjmHc8C4MQgYN24MC+cc3u4mmZl1BAeNRiL2/GlmZg4aOWs2b2fn7iCAnbuDNZu3t7tJZmYdwUEjY/JzxrM7JRi7wwPhZmYDHDQyPOXWzCzPQSPDU27NzPIcNDKcaZiZ5TloZDjTMDPLc9DIcKZhZpbnoJHhTMPMLM9BI8OZhplZnoNGhjMNM7M8B40MZxpmZnkOGhnONMzM8toeNCT9naSQNCWtS9KnJPVL2iDp+NK250q6L73OratNzjTMzPLGtfPgkmYApwA/KxWfBsxNr1cAVwCvkHQYcAnQR5EArJO0KiIeHel2OdMwM8trd6bxP4ELgPL9xxcDV0dhDTBJ0lTgVOCmiHgkBYqbgEV1NMqZhplZXtuChqTFwNaIuGNQ1TTgodL6llTWqHzEOdMwM8ur9fSUpJuBIzNVS4EPUpyaquO4S4AlADNnzhzy/gOZRuBMw8ysrNagEREn58ol/TEwG7hDEsB04EeSTgC2AjNKm09PZVuBkwaV39LguMuB5QB9fX1DfvSeMw0zs7y2nJ6KiDsj4nkRMSsiZlGcajo+In4BrALOSbOoFgKPRcTDwGrgFEmTJU2myFJW19E+j2mYmeW1dfZUA9cDpwP9wBPAOwAi4hFJHwFuT9tdGhGP1NEAZxpmZnkdETRStjGwHMB7Gmy3AlhRd3s8pmFmltfuKbcdyZmGmVmeg0ZGeUxjDM40zMwGOGhkLJxzOBMOGMNYwfgDxrBwzuHtbpKZWUfoiDGNTrPg6Mms/I8LWbN5OwvnHM6Coye3u0lmZh3BQaOBBUdPdrAwMxvEp6fMzKwyBw0zM6vMQcPMzCpz0DAzs8ocNMzMrDIHDTMzq0zFrZ66l6RtwIPD3H0K8OsRbE4n6ea+QXf3z30bvUZL/46OiCNyFV0fNPaHpLUR0dfudtShm/sG3d0/92306ob++fSUmZlV5qBhZmaVOWg0t7zdDahRN/cNurt/7tvoNer75zENMzOrzJmGmZlV5qCRIWmRpE2S+iVd2O72NCPpAUl3SlovaW0qO0zSTZLuSz8np3JJ+lTq1wZJx5fe59y0/X2Szi2VL0jv35/21d6tGNH+rJD0K0l3lcpq70+jY7Sgbx+StDV9fuslnV6quyi1c5OkU0vl2d9PSbMl3ZrKvyxpfCqfkNb7U/2sGvo2Q9J3Jf1E0kZJf5PKR/1n16RvXfHZDVlE+FV6AWOB+4E5wHjgDmBeu9vVpL0PAFMGlf0DcGFavhD4WFo+HbiB4tHnC4FbU/lhwOb0c3JanpzqbkvbKu17Ws39eTVwPHBXK/vT6Bgt6NuHgA9ktp2XfvcmALPT7+TYZr+fwFeAs9PylcC70vK7gSvT8tnAl2vo21Tg+LR8CHBv6sOo/+ya9K0rPrsh/3u0uwGd9gJeCawurV8EXNTudjVp7wPsHTQ2AVPT8lRgU1q+Cnjb4O2AtwFXlcqvSmVTgXtK5XtsV2OfZrHnF2vt/Wl0jBb0rdEXzx6/d8Dq9LuZ/f1MX6S/BsYN/j0e2Dctj0vbqebP8Drgdd302WX61pWf3b5ePj21t2nAQ6X1LamsUwVwo6R1kpaksudHxMNp+RfA89Nyo741K9+SKW+1VvSn0TFa4fx0imZF6dTKUPt2OPCbiNg5qHyP90r1j6Xta5FOobwMuJUu++wG9Q267LOrwkFj9DsxIo4HTgPeI+nV5coo/kTpmilyrehPi//NrgBeAMwHHgY+0aLj1kLSwcBXgfdFxOPlutH+2WX61lWfXVUOGnvbCsworU9PZR0pIramn78Cvg6cAPxS0lSA9PNXafNGfWtWPj1T3mqt6E+jY9QqIn4ZEbsiYjfwWYrPD4bet+3AJEnjBpXv8V6p/rlp+xEl6QCKL9WVEfG1VNwVn12ub9302Q2Fg8bebgfmptkM4ykGn1a1uU1Zkg6SdMjAMnAKcBdFewdmnZxLcQ6WVH5OmrmyEHgspfWrgVMkTU4p9ikU51QfBh6XtDDNVDmn9F6t1Ir+NDpGrQa+7JIzKT6/gfacnWbPzAbmUgwEZ38/01/Y3wXenOlDuW9vBv5f2n4k+yHg88DdEfGPpapR/9k16lu3fHZD1s4BlU59UczsuJdipsPSdrenSTvnUMzAuAPYONBWinOe3wHuA24GDkvlAj6d+nUn0Fd6r3cC/en1jlJ5H8V/hvuBy6l/APVLFKn+MxTndv+yFf1pdIwW9O2Lqe0bKL4gppa2X5rauYnSrLVGv5/p9+G21Of/C0xI5RPTen+qn1ND306kOC20AVifXqd3w2fXpG9d8dkN9eUrws3MrDKfnjIzs8ocNMzMrDIHDTMzq8xBw8zMKnPQMDOzyhw0zCqS9G/p5yxJfzbC7/3B3LHMOo2n3JoNkaSTKG5U94Yh7DMu/nBvoVz97yLi4BFonlmtnGmYVSTpd2lxGfAn6RkKfytprKTLJN2ebl73n9L2J0n6gaRVwE9S2bXp5pIbB24wKWkZcGB6v5XlY6Urpi+TdJeKZ0m8tfTet0j6F0n3SFqZrlw2q9W4fW9iZoNcSCnTSF/+j0XEyyVNAP5V0o1p2+OB4yLip2n9nRHxiKQDgdslfTUiLpR0fkTMzxzrLIob4r0UmJL2+X6qexlwLPBz4F+BVwE/HOnOmpU50zDbf6dQ3EdpPcUtsw+nuN8QwG2lgAHwXkl3AGsobkQ3l+ZOBL4UxY3xfgl8D3h56b23RHHDvPUUz+owq5UzDbP9J+CvI2L1HoXF2MfvB62fTPFQnSck3UJxb6Hh2lFa3oX/P1sLONMwG7rfUjz2c8Bq4F3p9tlIOibddXiw5wKPpoDxIopHlw54ZmD/QX4AvDWNmxxB8cjY20akF2bD4L9MzIZuA7ArnWb6AvBPFKeGfpQGo7cBZ2T2+zZwnqS7Ke5+uqZUtxzYIOlHEfH2UvnXKR7/eQfFnVYviIhfpKBj1nKecmtmZpX59JSZmVXmoGFmZpU5aJiZWWUOGmZmVpmDhpmZVeagYWZmlTlomJlZZQ4aZmZW2f8HuR9b6YbfcFoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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WadvMzOofjvt94L3AcmBzKg6gYxOHR1WZmRWrt8bRBRwUEUPmPjjfAGhmVqzeUVUPAXuXGUi7cee4mVmxemscY4CHJd0LbL2hISI+XkpUbcBNVWZmxepNHBeXGUQ7clOVmVmxeofj3lV2IO3GTVVmZsWq9nFI+kV6fV3Sa7nldUmvNSfE1ui9jwN8H4eZWV7VxBERR6XXXSNit9yya0TsNpATS/qqpBWSlku6Q9I+qVySviVpddo/NfeeMyStSssZAzl/Lb6Pw8ysWN3P45A0XNI+kvbrXQZ47ssj4tCIOAz4V+ArqfwkYEpaZgFXp/PvCVwEHAkcAVwkafQAY6jIneNmZsXqvQHwC2Q/2i8AW1JxAIf298QRkW/q2pl3+p9nAteme0aWStpD0jjgWGBxRKxPMS0GZgDX9zeGqvHV2DYzG6rqHVV1HnBgRLw8mCeXdClwOtlDof44Fe8LPJs7bG0qq1ReCneOm5kVq7ep6lmyH/eGSFoi6aGCZSZARMyNiAnAdcC5jX5+lfPOktQtqbunp6dfn+HOcTOzYvXWONYAd0q6jW1vAPx6tTdFxPF1fv51wEKy5rB1wITcvvGpbB1Zc1W+/M4K550HzAPo6urqVyuTO8fNzIrVW+N4BlgMjAR2zS39lqZp7zUTeDStLwBOT6OrpgOvRsRzwCLgBEmjU6f4CamsFK5xmJkVq/cGwP9Zwrkvk3QgWWf708DsVL4QOBlYDbwFnJliWC/pq8B96bhLejvKy+Aah5lZsaqJQ9I3IuJ8SbdSMLBoIHNVRcSfVCgP4JwK++YD8/t7zkb4QU5mZsVq1Ti+n16vKDuQduMah5lZsaqJIyKWpdchN1eVbwA0MytW7w2AU4C/Bg4Cduwtj4jJJcXVcr4B0MysWL2jqv6BbOqPTWQ36l0L/KCsoNqBbwA0MytWb+LYKSJ+Cigino6Ii4GPlhdW63k4rplZsXpvANwgaRiwStK5ZDfj7VJeWK3nznEzs2L11jjOA94DfBGYBvxnoNRpzVvNNQ4zs2I1axyShgOfjogvAW+QbsjrdK5xmJkVq/UEwBERsRk4qknxtA3XOMzMitWqcdwLTAV+LWkB8E/Am707I+JfSoytpVzjMDMrVm/n+I7Ay8CHeWcWjgA6NnF4yhEzs2K1EsfvSfrvwEO88xvaq6PviXONw8ysWK3EMZxs2K0K9nV04nCNw8ysWK3E8VxEXNKUSNqMaxxmZsVq3cdRVNMYEjzJoZlZsVqJ47imRNGGPMmhmVmxqomjzCfstTtPcmhmVqzeKUeGHN8AaGZWzImjAneOm5kVc+KowDUOM7NiThwVuMZhZlbMiaMC1zjMzIo5cVTgGoeZWTEnjgpc4zAzK9ayxCHpq5JWSFou6Q5J+6TyYyW9msqXS/pK7j0zJD0mabWkOWXG5xqHmVmxVtY4Lo+IQyPiMOBfga/k9t0dEYel5RLY+iTCbwMnAQcBp0k6qKzgXOMwMyvWssQREa/lNnem9qweRwCrI2JNRGwEbgBmlhWfaxxmZsVa2sch6VJJzwKfYdsax4ckPSDpdkkHp7J9gWdzx6xNZUWfO0tSt6Tunp6efsXmGoeZWbFSE4ekJZIeKlhmAkTE3IiYAFwHnJvedj+wf0R8ELgSuLnR80bEvIjoioiusWPH9it21zjMzIrV++jYfomI4+s89DpgIXBRvgkrIhZK+jtJY4B1wITce8anslL4QU5mZsVaOapqSm5zJvBoKt9bktL6EWQxvgzcB0yRNEnSSOBUYEFZ8bnGYWZWrNQaRw2XSToQ2AI8DcxO5acAn5e0CfgdcGpEBLBJ0rnAIrJH2s6PiJVlBecah5lZsZYljoj4kwrlVwFXVdi3kKxJq3SucZiZFfOd4xV4VJWZWTEnjgpc4zAzK+bEUYFrHGZmxZw4KnCNw8ysmBNHBa5xmJkVc+KowDUOM7NiThwVuMZhZlbMiaMC1zjMzIo5cVTgGoeZWTEnjgpc4zAzK+bEUYFrHGZmxZw4KnCNw8ysmBNHBa5xmJkVc+KowDUOM7NiThwVuMZhZlbMiaMC1zjMzIo5cVTgGoeZWTEnjgpc4zAzK+bEUYFrHGZmxZw4KnCNw8ysmBNHBa5xmJkVc+KowDUOM7NiThwVuMZhZlas5YlD0l9KCklj0rYkfUvSakkrJE3NHXuGpFVpOaPMuFzjMDMrNqKVJ5c0ATgBeCZXfBIwJS1HAlcDR0raE7gI6CL7LV8maUFEvFJGbL01jsA1DjOzvFbXOP4PcAFs/cc9wEzg2sgsBfaQNA44EVgcEetTslgMzCgrMNc4zMyKtSxxSJoJrIuIB/rs2hd4Nre9NpVVKi/67FmSuiV19/T09Cs+93GYmRUrtalK0hJg74Jdc4EvkzVTDbqImAfMA+jq6ooahxdyjcPMrFipiSMiji8ql/QHwCTgAUkA44H7JR0BrAMm5A4fn8rWAcf2Kb9z0INO3MdhZlasJU1VEfFgRPxeREyMiIlkzU5TI+J5YAFwehpdNR14NSKeAxYBJ0gaLWk0WW1lUVkxusZhZlaspaOqKlgInAysBt4CzgSIiPWSvgrcl467JCLWlxVEvsYxDNc4zMx6tUXiSLWO3vUAzqlw3HxgfjNimj55L0btMIy3N21hhxHDmD55r2ac1sys7bVF4mhH0/YfzXX/dTpL17zM9Ml7MW3/0a0OycysLThxVDFt/9FOGGZmfbT6BkAzM9vOOHGYmVlDnDjMzKwhThxmZtYQJw4zM2uIE4eZmTVE2f12nUtSD/D0AD5iDPDSIIXTbnxt269Ovj5fW3vYPyLGFu3o+MQxUJK6I6Kr1XGUwde2/erk6/O1tT83VZmZWUOcOMzMrCFOHLXNa3UAJfK1bb86+fp8bW3OfRxmZtYQ1zjMzKwhThxmZtYQJ44KJM2Q9Jik1ZLmtDqeaiQ9JelBScsldaeyPSUtlrQqvY5O5ZL0rXRdKyRNzX3OGen4VZLOyJVPS5+/Or1XJV/PfEkvSnooV1b69VQ6RxOu7WJJ69L3t1zSybl9F6Y4H5N0Yq688O9T0iRJ96TyH0kamcpHpe3Vaf/EEq5tgqSfSXpY0kpJ56Xy7f67q3JtHfHdNSwivPRZgOHAE8BkYCTwAHBQq+OqEu9TwJg+ZX8LzEnrc4C/SesnA7cDAqYD96TyPYE16XV0Wh+d9t2bjlV670klX88xwFTgoWZeT6VzNOHaLga+VHDsQelvbxQwKf1NDq/29wn8GDg1rX8H+HxaPxv4Tlo/FfhRCdc2Dpia1ncFHk/XsN1/d1WurSO+u4b/e7Q6gHZcgA8Bi3LbFwIXtjquKvE+xbsTx2PAuLQ+DngsrV8DnNb3OOA04Jpc+TWpbBzwaK58m+NKvKaJbPvjWvr1VDpHE66t0o/PNn93wKL0t1n495l+TF8CRvT9O+59b1ofkY5Tyd/hLcBHOum7K7i2jvzuai1uqiq2L/BsbnttKmtXAdwhaZmkWans9yPiubT+PPD7ab3StVUrX1tQ3mzNuJ5K52iGc1NzzfxcM0uj17YX8NuI2NSnfJvPSvtfTceXIjWn/CFwDx323fW5Nuiw764eThyd4aiImAqcBJwj6Zj8zsj+qdIx466bcT1N/m92NfBe4DDgOeBrTTpvKSTtAtwInB8Rr+X3be/fXcG1ddR3Vy8njmLrgAm57fGprC1FxLr0+iJwE3AE8IKkcQDp9cV0eKVrq1Y+vqC82ZpxPZXOUaqIeCEiNkfEFuC7ZN8fNH5tLwN7SBrRp3ybz0r7d0/HDypJO5D9sF4XEf+Sijviuyu6tk767hrhxFHsPmBKGuUwkqxDakGLYyokaWdJu/auAycAD5HF2zsa5QyyNllS+elpRMt04NVUxV8EnCBpdKpun0DWxvoc8Jqk6WkEy+m5z2qmZlxPpXOUqvcHL/kk2ffXG8+paVTNJGAKWedw4d9n+pf2z4BTCq4hf22nAP8vHT+Y1yHge8AjEfH13K7t/rurdG2d8t01rJUdLO28kI34eJxsBMTcVsdTJc7JZCMzHgBW9sZK1gb6U2AVsATYM5UL+Ha6rgeBrtxnnQWsTsuZufIusv8hngCuovxO1evJqv1vk7X1/nkzrqfSOZpwbd9Psa8g+5EYlzt+borzMXKj2Sr9faa/h3vTNf8TMCqV75i2V6f9k0u4tqPImohWAMvTcnInfHdVrq0jvrtGF085YmZmDXFTlZmZNcSJw8zMGuLEYWZmDXHiMDOzhjhxmJlZQ5w4zBog6ZfpdaKkPxvkz/5y0bnM2o2H45r1g6RjySa3+1gD7xkR78xFVLT/jYjYZRDCMyuVaxxmDZD0Rlq9DDg6PYPhLyQNl3S5pPvShHf/LR1/rKS7JS0AHk5lN6cJKVf2Tkop6TJgp/R51+XPle6svlzSQ8qeRfHp3GffKemfJT0q6bp0h7NZqUbUPsTMCswhV+NICeDViDhc0ijg3yTdkY6dChwSEU+m7bMiYr2knYD7JN0YEXMknRsRhxWc61Nkk+h9EBiT3vPztO8PgYOB3wD/BvwH4BeDfbFmea5xmA2OE8jmXVpONt32XmTzEwHcm0saAF+U9ACwlGzyuilUdxRwfWST6b0A3AUcnvvstZFNsrec7FkfZqVyjcNscAj4QkQs2qYw6wt5s8/28WQP5nlL0p1kcxH114bc+mb8/7Q1gWscZv3zOtkjRHstAj6fpt5G0gFptuK+dgdeSUnj/WSPQe31du/7+7gb+HTqRxlL9vjZewflKsz6wf86MeufFcDm1OT0j8A3yZqJ7k8d1D3AJwre9xNgtqRHyGZNXZrbNw9YIen+iPhMrvwmskeJPkA2Q+sFEfF8SjxmTefhuGZm1hA3VZmZWUOcOMzMrCFOHGZm1hAnDjMza4gTh5mZNcSJw8zMGuLEYWZmDfn/sCX0s+xGwdMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for k, v in np_stats_tr.items():\n",
    "    v = smooth(v)\n",
    "    plt.plot(np.arange(1, v.size + 1), v, '.')    \n",
    "    plt.ylabel(f'Training {k}')\n",
    "    plt.xlabel('iteration')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "FY26XI0FzUm8"
   },
   "source": [
    "# Validation Curves"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "metric           mean         min\n",
      "---------  ----------  ----------\n",
      "val_nll     107.447     106.986\n",
      "val_bpd      15.5013     15.4348\n",
      "val_ELBO   -110.127    -110.64\n",
      "val_D        90.6122     90.0108\n",
      "val_R        19.5149     19.0778\n",
      "val_R_F      10.1658     10.0134\n",
      "val_R_Y|f     9.34906     9.06433\n"
     ]
    }
   ],
   "source": [
    "print(tabulate(\n",
    "    [(k, np.mean(v[-100:]), np.min(v[-100:])) for k, v in np_stats_val.items()],\n",
    "    headers=['metric', 'mean', 'min']\n",
    "))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 541
    },
    "id": "XoLBOF45yivl",
    "outputId": "d1fa5183-3cec-428c-d8d2-cb2bf72cd44f",
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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TbmbWjLIu4/hpST8A3pCK3hcRq/ILKz89z28btPyZIcrNzJrRsM0+kg5IPw8GnqA0zcN3gCdT2YQz1Jh+gad5MLPCqNbm/y/p50qgq+JR3h6WpCmSlkl6WNJaSRem8oMl3Snp0fTzoDHUYUTmz54+6KLCAR7xY2aFMWzyj4i3pp9Hppu7yo8jI+KoDO+/Hbg4Io4DTgEukHQc8HHgrog4FrgrbdfFnI723YZ6lnnEj5kVRbWbvIYdyx8R91fZvxHYmJ5vkbSO0n0C7wBOT4fdAPxf4GOZIq6Bya0t9PTu3sbvET9mVhTVOnw/N8y+AGZl/SBJ04AOYAVwWDoxAPySOg8bHWpkz9btfYPvMDNrMtVu8jqjFh8iaT9Ki8DPi4jfqyL7RkRIGrQlRtJcYC7A1KlTaxEKMPSIn+e37WDJqm5P82BmTS/rTV5IepWk/yHpr8qPjK9roZT4F0bE4lT8K0mHp/2HA5sGe21EXBsRnRHR2dZWu8nXhpvF052+ZlYEmZK/pMuAr6THGZSmc357htcJuA5YN2ASuNuB89Lz84DbRhDzmM2fPX3IfYOt82tm1myyXvmfDbwR+GVEvA84gdKCLtXMBM4FZklanR5vBj4DnCnpUeBNabtu5nS0c9A+Q3fuery/mTW7rMm/NyJ2ANvTjV+bgCnVXhQR90aEIuL4iJiRHt+PiN9ExBsj4tiIeFNE/HYslRiNy972yiH3XX772jpGYmZWf1mTf5ekycA3Kd3gdT/w47yCqofhOnUHGwZqZtZMqk3v8FVJMyPibyKiJ63edSZwXmr+aVpu+jGzZlbtyv+nwGclPSHpakkdEfFERDxYj+DyNly7v0f9mFkzqza9w5ci4lTgNOA3wPWSHpF0maSX1SXCHA3X7u9RP2bWzLIu4P5kRFwVER3AeyjN578uz8DqYU5HO3sMM4+/m37MrFllHee/p6S3SVoI/ABYD7wz18jqZMdQs7zhUT9m1ryqdfieKel64GngfErr9h4dEX8REXW9MSsv7cPc7dvTu81X/2bWlKpd+S8AfgS8IiLeHhH/EhHP1SGuuhlqfv8yX/2bWTOqNrFb5lk7J6o5He10Pflbblz+1KD7PebfzJpR5ondmtmVc1497H43/ZhZs3HyT4Yb879gcVPc1mBmtpOTfzLcmP/ebTu4ZMmaOkZjZpYvJ/+k2gIuNy5/ys0/ZtY0nPwrDNf0A27+MbPm4eRfYbimHyg1//jq38yagZN/hTkd7bz3lOHXCva4fzNrBk7+A1w559Xsu9ekIff39G5z56+ZTXhO/oP49J8NP+7fnb9mNtE5+Q8iS/OPO3/NbCJz8h9Ctbt+3flrZhNZrslf0vWSNkl6qKJshqTlklZL6pJ0Up4xjEW1oZ/u/DWziSrvK/9vAWcNKLsauCIiZgCXpu1xqdrQT3f+mtlElWvyj4j/An47sBg4ID0/ENiQZwxjkaXt/8blT/kEYGYTzrBTOudkHrBU0mcpnXxe14AYMiu3/Q815XN53883P8vC80+tV1hmZmPSiA7fDwEXRcQU4CLguqEOlDQ39Qt0bd68uW4BDlSt8xfgvx//rb8BmNmE0Yjkfx6wOD3/HjBkh29EXBsRnRHR2dbWVpfghlKt8xeG/3ZgZjaeNCL5bwBOS89nAY82IIYRq9b5Wzb9kh94CKiZjXt5D/W8CfgxMF3S05I+QGkh+M9JegD4B2BunjHUSpbOX4AXtu9g3qLVbgIys3FNEdHoGDLp7OyMrq6uRofBklXdzP/earbtqH7s3nvuwVXvOr7qWgFmZnmRtDIiOgeW+w7fEZrT0c6j//AWlOHYF7bv4KJFq90MZGbjjpP/KJ2ToQkISjc1zFu0mlde+h8+CZjZuOHkP0pXznk1M48+OPPxz23t80nAzMYNJ/8xWHj+qZk6gSuVTwLuEDazRnLyH6Mr57yaL757Bi0j/E3euPwpfwsws4bxaJ8aOuebP+a/Hx84lVE2++41iU//2as9MsjMasqjfepgNM1AZc9t7fPIIDOrG1/552Ak9wIM56B9Wrjsba/0twEzGzVf+ddR+V6AL757Bq0j7Qyo8Mzz25i3aDXnfPPHNYzOzMxX/nVxyZI1NZn0TZTuL8gyy6iZGQx95e/kXydLVnWzYPGD9I61LaiCm4XMrBon/3FiyapuLr99LT2922r+3h4xZGYDOfmPQ7VqDhqKTwZm5uQ/TuXRHDQU9xmYFY+T/wRRq2GiI+G+A7Pm5eQ/wdTzG8FgfEIwaw5O/hNYo08EQ/EJwmz8c/JvEuP1RFDmfgWz8cXJv0nlOXQ0L3sIdgS0T25l/uzp/uZglqOGJH9J1wNvBTZFxKsqyj8MXAD0Af8eER+t9l5O/tldsmQNC5c/xcQ4rVe3716TeH5rH0f4ZGE2Yo1K/n8MPAt8u5z8JZ0BfBJ4S0S8IOnQiNhU7b2c/EdvvDcV1YooLZs5ubUFCXqe3+YThhVew5p9JE0D7qhI/t8Fro2IH47kfZz8a2ciNhXlaQ/BX57sfgprTuMp+a8GbgPOAv4A/O+I+Em193Hyz59PCqMj4HVHH8zaDVt2/u48EsrGi/GU/B8ClgEfAV4LLAKOikECkTQXmAswderUE5988slcY7Wh+cSQv333msRzW/t2bk+SeM/JU/yNxMZkPCX//wCuiohlaftx4JSI2Dzc+/jKf3wrSr/CRFV5IrlkyRpuWvEL+iJ8gimA8ZT8PwgcERGXSnoZcBcwdbAr/0pO/hOXvzUUh+/zGH8aNdrnJuB04BDgV8BlwHeA64EZwFZKbf53V3svJ/9iWLKqm2uWrqe7p7fRoViTOWifFt5y/OEse2QzG3p6CzMSzDd5WVMonxzK/3nPeHkbdzyw0d8qbEIr9/eUhytD7QYNOPmbJf52YRPNWJrThkr+e9YiMLOJZE5H+6iupgb2XezTsgfb+nbUdfptK6aAnQs/1ao/xVf+Zg3kUVI2EpMkHv/HN4/oNb7yNxuHRvstpJL7QYqjr4YX607+ZhPcYCeQWg+1rOwnmSTRF9FvVlZ/g6mPSVLN3svJ38yqqvYNpRbfYIZTeWOagH3STK8HtrawdXsfz6eTTuVwzu6e3n6jZ5rBe06eUrP3cpu/mVlOKpvkBp6oRjJgwKN9zMwmkLy/EY3FHo0OwMzM6s/J38ysgJz8zcwKyMnfzKyAnPzNzApowgz1lLQZGM1SXocAv65xOOOd61wMrnMxjLXOL42ItoGFEyb5j5akrsHGuDYz17kYXOdiyKvObvYxMysgJ38zswIqQvK/ttEBNIDrXAyuczHkUuemb/M3M7PdFeHK38zMBmjq5C/pLEnrJT0m6eONjqdWJF0vaZOkhyrKDpZ0p6RH08+DUrkkfTn9Dh6U9JrGRT56kqZIWibpYUlrJV2Yypu23pJeJOk+SQ+kOl+Ryo+UtCLVbZGkvVL53mn7sbR/WkMrMAaSJklaJemOtN3UdZb0hKQ1klZL6kpluf5tN23ylzQJ+Crwp8BxwHskHdfYqGrmW8BZA8o+DtwVEccCd6VtKNX/2PSYC3ytTjHW2nbg4og4DjgFuCD9ezZzvV8AZkXECcAM4CxJpwBXAV+IiGOAZ4APpOM/ADyTyr+QjpuoLgTWVWwXoc5nRMSMimGd+f5tR0RTPoBTgaUV2wuABY2Oq4b1mwY8VLG9Hjg8PT8cWJ+efwN4z2DHTeQHcBtwZlHqDewD3A+cTOmGnz1T+c6/c2ApcGp6vmc6To2OfRR1fUlKdrOAOyhNZ9/sdX4COGRAWa5/20175Q+0A7+o2H46lTWrwyJiY3r+S+Cw9Lzpfg/pq30HsIImr3dq/lgNbALuBB4HeiJiezqksl4765z2/w54cV0Dro0vAh8FysucvJjmr3MA/ylppaS5qSzXv20v5tKEIiIkNeUwLkn7AbcA8yLi96pY07QZ6x0RfcAMSZOBW4GXNzaifEl6K7ApIlZKOr3B4dTT6yOiW9KhwJ2SHqncmcffdjNf+XcDlQteviSVNatfSTocIP3clMqb5vcgqYVS4l8YEYtTcdPXGyAieoBllJo8JksqX7hV1mtnndP+A4Hf1DfSMZsJvF3SE8C/Umr6+RLNXWciojv93ETpJH8SOf9tN3Py/wlwbBolsBfwF8DtDY4pT7cD56Xn51FqEy+X/1UaIXAK8LuKr5IThkqX+NcB6yLi8xW7mrbektrSFT+SWin1cayjdBI4Ox02sM7l38XZwN2RGoUniohYEBEviYhplP7P3h0R59DEdZa0r6T9y8+BPwEeIu+/7UZ3dOTcifJm4KeU2kk/2eh4alivm4CNwDZK7X0foNTOeRfwKPBD4OB0rCiNenocWAN0Njr+Udb59ZTaRR8EVqfHm5u53sDxwKpU54eAS1P5UcB9wGPA94C9U/mL0vZjaf9Rja7DGOt/OnBHs9c51e2B9FhbzlV5/237Dl8zswJq5mYfMzMbgpO/mVkBOfmbmRWQk7+ZWQE5+ZuZFZCTv1kdSDq9PEOl2Xjg5G9mVkBO/mYVJL03zaG/WtI30sRqz0r6QppT/y5JbenYGZKWpznVb62Yb/0YST9M8/DfL+no9Pb7SbpZ0iOSFqpyYiKzOnPyN0skvQJ4NzAzImYAfcA5wL5AV0S8ErgHuCy95NvAxyLieEp3WpbLFwJfjdI8/K+jdDc2lGYinUdpfYmjKM1jY9YQntXTbJc3AicCP0kX5a2UJtPaASxKx9wILJZ0IDA5Iu5J5TcA30tztLRHxK0AEfEHgPR+90XE02l7NaU1Ge7NvVZmg3DyN9tFwA0RsaBfofSpAceNdk6UFyqe9+H/f9ZAbvYx2+Uu4Ow0p3p5DdWXUvp/Up5R8i+BeyPid8Azkt6Qys8F7omILcDTkuak99hb0j71rIRZFr7yMEsi4mFJl1BaUWkPSrOmXgA8B5yU9m2i1C8ApWl2v56S+8+A96Xyc4FvSPr79B5/XsdqmGXiWT3NqpD0bETs1+g4zGrJzT5mZgXkK38zswLylb+ZWQE5+ZuZFZCTv5lZATn5m5kVkJO/mVkBOfmbmRXQ/wdUHS2vChJTewAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for k, v in np_stats_val.items():\n",
    "    plt.plot(np.arange(1, v.size + 1), v, 'o')\n",
    "    plt.ylabel(f'Validation {k}')\n",
    "    plt.xlabel('epoch')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "metric          mean       std\n",
      "--------  ----------  --------\n",
      "IS-NLL     106.775\n",
      "IS-BPD      15.4043\n",
      "ELBO      -109.908    33.4843\n",
      "D           90.2318   30.0238\n",
      "R           19.6762    5.3067\n",
      "R_F         10.2265    2.32995\n",
      "R_Y|f        9.44979   3.09952\n"
     ]
    }
   ],
   "source": [
    "rows = [('IS-NLL', val_metrics[0], None), ('IS-BPD', val_metrics[1], None)]\n",
    "val_DR = val_metrics[2]\n",
    "for k, v in val_DR.items():\n",
    "    rows.append((k, v.mean(), v.std()))\n",
    "print(tabulate(rows, headers=['metric', 'mean', 'std']))    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "_ = plt.hist(val_DR['D'], bins='auto')\n",
    "_ = plt.xlabel('D')\n",
    "plt.show()\n",
    "\n",
    "_ = plt.hist(val_DR['R'], bins='auto')\n",
    "_ = plt.xlabel('R')\n",
    "plt.show()\n",
    "\n",
    "if state.vae.p.z_dim:\n",
    "    _ = plt.hist(val_DR['R_Z'], bins='auto')\n",
    "    _ = plt.xlabel('R(Z)')\n",
    "    plt.show()\n",
    "    \n",
    "if state.vae.p.y_dim:\n",
    "    _ = plt.hist(val_DR['R_F'], bins='auto')\n",
    "    _ = plt.xlabel('R(F)')\n",
    "    plt.show()\n",
    "\n",
    "    _ = plt.hist(val_DR['R_Y|f'], bins='auto')\n",
    "    _ = plt.xlabel('R(Y|F)')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "ndBexD8IzXDi"
   },
   "source": [
    "# Analysis"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It's good to check that the aggregated posterior is reasonably close to the prior, when this is not the case, we might need to check the VAE. It's not obvious what might cause such a thing, but it could be due to local optimality, which in turn may be due to too noisy gradient estimates. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "import torch_two_sample as t2s\n",
    "from analysis import collect_samples"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "prior, posterior = collect_samples(state.vae, get_batcher(valid_loader, args), args, num_samples=100)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "When thing we can do is to check a test statistics, such as MMD, low values indicate the two samples are closer, though note MMD cannot be used to 'accept' the null hypothesis (that the two samples come from the same distribution). Take this as just a sanity check, not as a certificate. \n",
    "\n",
    "It's unclear what hyperparameters to use, so we compute the MMD statistic over a range of values and plot the distribution of results:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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47WWqPhZ0XzNRgcWjqHEiu17Vh/bfZ/vCIet8WNL359uI7eWSPibp2+VIHUiFosYJKyIelfTxEesc87909Pic7UOSVqg6n93/37EBKfDpeQCQHBcTASA5ihoAkqOoASA5ihoAkqOoASA5ihoAkqOoASC5/wdWcTcACYqJCAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for rv, dim in [('f', state.p.y_dim), ('y', state.p.y_dim), ('z', state.p.z_dim)]:\n",
    "    if dim == 0:\n",
    "        continue\n",
    "    p_f = np.stack(prior[rv]).reshape(-1, dim)\n",
    "    q_f = np.stack(posterior[rv]).reshape(-1, dim)\n",
    "    mmd = t2s.statistics_diff.MMDStatistic(p_f.shape[0], q_f.shape[0])\n",
    "    v = np.array([mmd(torch.tensor(p_f), torch.tensor(q_f), [alpha]).cpu().numpy() for alpha in np.random.gamma(10., 1./10, size=20)])\n",
    "\n",
    "    _ = plt.hist(v, color='blue', alpha=0.3, label='')\n",
    "    _ = plt.axvline(x=v.mean(), c='blue')\n",
    "    #_ = plt.hist(v2, color='red', alpha=0.3, label='volcanic-firefly-4')\n",
    "    #_ = plt.axvline(x=v2.mean(), c='red')\n",
    "    _ = plt.xlabel(f\"MMD {rv}\")\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## KL"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 1000
    },
    "id": "DasiABbHu5mc",
    "outputId": "4259154c-0094-4078-ff1c-896c02b9680e",
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For a trained VAE: \n",
      " 1. We want to see that KL(Z|x || Z), KL(F|x || F), and KL(Y|f,x || Y|f) are generally > 0 for any x ~ D.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " 2. But, marginally, we expect E_X[Z|X] ~ Z E_X[F|X] ~ F and E_FX[Y|F,X] ~ E_F[Y|F].\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 10 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "compare_marginals(state.vae, get_batcher(valid_loader, args), args, cols=5, num_samples=num_samples)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Posterior and Prior Samples"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 1000
    },
    "id": "kcNTB64xhrYx",
    "outputId": "94a41323-768c-4bac-cddd-1e728ab474c4",
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 15 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 15 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 15 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "compare_samples(state.vae, get_batcher(valid_loader, args), args, N=5, num_figs=3, num_samples=100, \n",
    "                filename=plots_dir / 'posterior-grid')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## TSNE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "id": "dpY7GkEQhrYx"
   },
   "outputs": [],
   "source": [
    "from analysis import samples_per_digit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "id": "OSgvWiwy86Is"
   },
   "outputs": [],
   "source": [
    "f, y, z, x, marginal_f, scores, concs = samples_per_digit(\n",
    "    state.vae, get_batcher(valid_loader, args, onehot=False), \n",
    "    args, return_marginal=args.y_dim > 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "((10, 458, 10), (10, 10), (10, 458, 0), (10, 0), (10, 458, 784), (10, 784))"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "f.shape, f.mean(1).shape, z.shape, z.mean(1).shape, x.shape, x.mean(1).shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "((10, 458, 10), (10, 10), (10, 458, 10), (10, 10), (10, 458, 10), (10, 10))"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "marginal_f.shape, marginal_f.mean(1).shape, scores.shape, scores.mean(1).shape, concs.shape, concs.mean(1).shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's appreciate the sparsity of the samples"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "if state.vae.p.y_dim:\n",
    "    _ = plt.imshow(f.mean(1))\n",
    "    _ = plt.ylabel('Class')\n",
    "    _ = plt.xlabel(r'$k$')\n",
    "    _ = plt.title(r'$E[F_k = 1|X]$')\n",
    "    _ = plt.colorbar()\n",
    "    plt.show()\n",
    "        \n",
    "    for k in range(10):\n",
    "        _ = plt.hist(f[k].sum(-1), label=f'{k}')\n",
    "    _ = plt.legend()\n",
    "    plt.show()\n",
    "    \n",
    "    _ = plt.imshow(scores.mean(1))\n",
    "    _ = plt.ylabel('Class')\n",
    "    _ = plt.xlabel(r'$k$')\n",
    "    _ = plt.title(r'$E[\\omega_k|X]$')\n",
    "    _ = plt.colorbar()\n",
    "    plt.show()\n",
    "    \n",
    "    _ = plt.imshow(concs.mean(1))\n",
    "    _ = plt.ylabel('Class')\n",
    "    _ = plt.xlabel(r'$k$')\n",
    "    _ = plt.title(r'$E[\\alpha_k|X]$')\n",
    "    _ = plt.colorbar()\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.manifold import TSNE"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's appreciate structure in latent space"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [],
   "source": [
    "def tsne_plot(samples, title, legend=True, filename=None):\n",
    "    \"\"\"\n",
    "    :param samples: [10, N,D]\n",
    "    \"\"\"\n",
    "    assert samples.shape[0] == 10, \"I need 10 digits\"\n",
    "    D = samples.shape[-1]\n",
    "    assert D > 0, \"0-dimensional features?\"\n",
    "    tsne_results = TSNE(n_components=2, random_state=1).fit_transform(samples.reshape(-1, D)).reshape(10, -1, 2)\n",
    "    plt.figure(figsize=(6, 5))\n",
    "    colors = 'r', 'g', 'b', 'c', 'm', 'y', 'k', 'gray', 'orange', 'purple'\n",
    "    for i, c in zip(np.arange(10), colors):\n",
    "        plt.scatter(tsne_results[i, :, 0], tsne_results[i, :, 1], c=c, label=i)\n",
    "    plt.xticks([], [])    \n",
    "    plt.yticks([], [])\n",
    "    if legend:\n",
    "        #plt.legend(bbox_to_anchor=(1, 0.85), loc='upper left', framealpha=0.5)\n",
    "        plt.legend(loc='lower right', framealpha=1.0, ncol=2, fontsize='small')\n",
    "    #plt.title(title)\n",
    "    \n",
    "    if filename:\n",
    "        plt.savefig(f'{filename}.pdf', bbox_inches='tight') \n",
    "    plt.show()\n",
    "\n",
    "    return tsne_results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "if state.vae.p.y_dim:\n",
    "    _ = tsne_plot(f, r\"$f \\sim Q_{F|X=x_{obs}}$\", legend=False, filename=plots_dir / 'tsne-f')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "if state.vae.p.y_dim:\n",
    "    _ = tsne_plot(marginal_f, r\"$ \\Pr(e_k \\in F |X_{obs})$\", legend=False, filename=plots_dir /'tsne-mu')    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "if state.vae.p.y_dim:\n",
    "    _ = tsne_plot(scores, r\"$ w_k \\phi_k(f) |X=x_{obs}$\", legend=False, filename=plots_dir / 'tsne-scores')    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "if state.vae.p.y_dim:\n",
    "    _ = tsne_plot(y, r\"$y \\sim Q_{Y|X=x_{obs}}$\", legend=True, filename=plots_dir / 'tsne-y')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [],
   "source": [
    "if state.vae.p.z_dim:\n",
    "    _ = tsne_plot(z, r\"$Z|X_{obs}$\", filename=plots_dir / 'tsne-z')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [],
   "source": [
    "if state.vae.p.z_dim:\n",
    "    _ = tsne_plot((z > 0) * 1.0, r\"$Z > 0 | X_{obs}$\", filename=plots_dir / 'tsne-threshold-z')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [],
   "source": [
    "if state.vae.p.z_dim:\n",
    "    _ = plt.hist((z > 0.).sum(-1).flatten(), label=\"0\")\n",
    "    #_ = plt.hist((z > 0.01).sum(-1).flatten(), label=\"0.01\")\n",
    "    #_ = plt.hist((z > 0.1).sum(-1).flatten(), label=\"0.1\")\n",
    "    #_ = plt.hist((z > 0.5).sum(-1).flatten(), label=\"0.5\")\n",
    "    _ = plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Marginal samples per class"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 10 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "marginal_x = x.mean(1)\n",
    "fig, axs = plt.subplots(\n",
    "    2, 5, \n",
    "    sharex=True, sharey=True,\n",
    "    gridspec_kw={'hspace': 0, 'wspace': 0})\n",
    "for c in range(10):\n",
    "    axs[c // 5, c % 5].imshow(marginal_x[c].reshape(args.height, args.width), cmap='Greys')\n",
    "for ax in axs.flat:\n",
    "    ax.set_xticks([])\n",
    "    ax.set_yticks([])\n",
    "# Hide x labels and tick labels for top plots and y ticks for right plots.\n",
    "for ax in axs.flat:\n",
    "    ax.label_outer()\n",
    "fig.savefig(plots_dir / 'posterior-marginal-samples.pdf', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Samples from Corner"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [],
   "source": [
    "from analysis import probe_corners"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [],
   "source": [
    "corner_samples = probe_corners(state.vae, get_batcher(valid_loader, args), args, num_samples=100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(100, 784)"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "corner_samples[0]['x'].shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 432x288 with 10 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(\n",
    "    2, 5, \n",
    "    sharex=True, sharey=True,\n",
    "    gridspec_kw={'hspace': 0, 'wspace': 0})\n",
    "for c in range(10):\n",
    "    axs[c // 5, c % 5].imshow(corner_samples[c]['x'].mean(0).reshape(args.height, args.width), cmap='Greys')\n",
    "    #axs[c // 5, c % 5].set_xlabel(c) #set_title(f\"X'|X={c}\")\n",
    "for ax in axs.flat:\n",
    "    ax.set_xticks([])\n",
    "    ax.set_yticks([])\n",
    "# Hide x labels and tick labels for top plots and y ticks for right plots.\n",
    "for ax in axs.flat:\n",
    "    ax.label_outer()\n",
    "#_ = fig.suptitle(r'Samples from vertices')  \n",
    "fig.savefig(plots_dir / 'prior-corner-samples.pdf', bbox_inches='tight')"
   ]
  }
 ],
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